Diana Davis, Kelsey DiPietro, Jenny Rustad, Alexander St Laurent
Published 2015-02-06Version 1
We study the behavior of linear trajectories refracting through planar tilings, motivated by a recent discovery of physical substances with negative indices of refraction. We give general results for triangle tilings, and for a division of the plane by a finite number of lines. We also explore the particularly interesting dynamics of the trihexagonal tiling.
Comments: 26 pages, 28 figures
Growth of the number of geodesics between points and insecurity for riemannian manifolds
Weak colored local rules for planar tilings
Some comments on 'Unique Bernoulli $g$-measures'
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